Some foundations for multiplicative habits models
Consumption models with multiplicative habits are becoming increasingly popular. However, mathematical foundations of such models are incomplete because the utility function with multiplicative habits is not concave. This paper shows that an optimal consumption path exists and it satisfies the first order conditions. The paper also shows that when the production function is linear, consumption growth rate along the optimal path converges to a positive constant under several parametric restrictions.
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- Francisco Alvarez-Cuadrado & Goncalo Monteiro & Stephen Turnovsky, 2004.
"Habit Formation, Catching Up with the Joneses, and Economic Growth,"
UWEC-2004-09-P, University of Washington, Department of Economics, revised Jan 2004.
- Francisco Alvarez-Cuadrado & Goncalo Monteiro & Stephen J. Turnovsky, 2004. "Habit Formation, Catching Up with the Joneses, and Economic Growth," Journal of Economic Growth, Springer, vol. 9(1), pages 47-80, 03.
- Nishimura, Kazuo, 1985.
"Competitive equilibrium cycles,"
Journal of Economic Theory,
Elsevier, vol. 35(2), pages 284-306, August.
- Takashi Kamihigashi, 2002.
"A simple proof of the necessity of the transversality condition,"
Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(2), pages 427-433.
- Takashi Kamihigashi, 2001. "A Simple Proof of the Necessity of the Transversality Condition," Discussion Paper Series 116, Research Institute for Economics & Business Administration, Kobe University.
- Christopher D Carroll & Jody Overland & David N Weil, 1997.
"Comparison Utility in a Growth Model,"
Economics Working Paper Archive
387, The Johns Hopkins University,Department of Economics.
- Jody Overland & Christopher D. Carroll & David N. Weil, 2000.
"Saving and Growth with Habit Formation,"
American Economic Review,
American Economic Association, vol. 90(3), pages 341-355, June.
- Christopher D. Carroll & Jody Overland & David N. Weil, 1995. "Saving and growth with habit formation," Finance and Economics Discussion Series 95-42, Board of Governors of the Federal Reserve System (U.S.).
- Christopher D. Carroll & Jody Overland & David N. Weil, 2000. "Mathematica code for 'Saving and Growth with Habit Formation' and 'Comparison Utility in a Growth Model'," QM&RBC Codes 43, Quantitative Macroeconomics & Real Business Cycles.
- Christopher D Carroll, 2000.
"Solving Consumption Models with Multiplicative Habits,"
Economics Working Paper Archive
421, The Johns Hopkins University,Department of Economics.
- Carroll, Christopher D., 2000. "Solving consumption models with multiplicative habits," Economics Letters, Elsevier, vol. 68(1), pages 67-77, July.
- Alonso-Carrera, Jaime & Caballe, Jordi & Raurich, Xavier, 2005.
"Growth, habit formation, and catching-up with the Joneses,"
European Economic Review,
Elsevier, vol. 49(6), pages 1665-1691, August.
- Jaime Alonso-Carrera & Jordi Caball?Author-Email: firstname.lastname@example.org & Xavier Raurich, . "Growth, Habit Formation, and Catching-up\ with the Joneses," UFAE and IAE Working Papers 497.01, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Juan Pablo RincÛn-Zapatero & Carlos RodrÌguez-Palmero, 2003. "Existence and Uniqueness of Solutions to the Bellman Equation in the Unbounded Case," Econometrica, Econometric Society, vol. 71(5), pages 1519-1555, 09.
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